10101302121321 has 6 divisors (see below), whose sum is σ = 14590769730810. Its totient is φ = 6734201414208.

The previous prime is 10101302121271. The next prime is 10101302121343. The reversal of 10101302121321 is 12312120310101.

10101302121321 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 130 + 212 + 1 + 321 = 666.

10101302121321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10019883776400 + 81418344921 = 3165420^2 + 285339^2 .

It is not a de Polignac number, because 10101302121321 - 2¹⁰ = 10101302120297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101302121294 and 10101302121303.

It is not an unprimeable number, because it can be changed into a prime (10101302121371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561183451176 + ... + 561183451193.

It is an arithmetic number, because the mean of its divisors is an integer number (2431794955135).

Almost surely, 2^{10101302121321} is an apocalyptic number.

It is an amenable number.

10101302121321 is a deficient number, since it is larger than the sum of its proper divisors (4489467609489).

10101302121321 is a wasteful number, since it uses less digits than its factorization.

10101302121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122366902375 (or 1122366902372 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10101302121321 its reverse (12312120310101), we get a palindrome (22413422431422).

The spelling of 10101302121321 in words is "ten trillion, one hundred one billion, three hundred two million, one hundred twenty-one thousand, three hundred twenty-one".